Iteration methods for Fredholm integral equations of the second kind. - Guangqing Long; Gnaneshwar Nelakanti (Comput. Math. Appl., 2007)

The Picard contraction mapping method for the parameter inversion of reaction-diffusion systems. - Xiaoyan Deng; Bangju Wang; Guangqing Long (Comput. Math. Appl., 2008)

Polynomially based multi-projection methods for Fredholm integral equations of the second kind. - Guangqing Long; Mitali Madhumita Sahani; Gnaneshwar Nelakanti (Appl. Math. Comput., 2009)

Superconvergence of functional approximation methods for integral equations. - Guangqing Long; Gnaneshwar Nelakanti (Appl. Math. Lett., 2009)

Discrete multi-projection methods for eigen-problems of compact integral operators. - Guangqing Long; Gnaneshwar Nelakanti; Bijaya Laxmi Panigrahi; Mitali Madhumita Sahani (Appl. Math. Comput., 2010)

The multi-projection method for weakly singular Fredholm integral equations of the second kind. - Guangqing Long; Gnaneshwar Nelakanti (Int. J. Comput. Math., 2010)

A Product Integration Method for Eigenvalue Problems of a Class of Non-compact Operators. - Guangqing Long; Xiaoyuan Huang; Aimei Tan (CIS, 2012)

Discrete product integration methods for eigen-problems of a class of non-compact integral operators. - Guangqing Long; Xiaoyuan Huang; Aimei Tan; Gnaneshwar Nelakanti (Appl. Math. Comput., 2013)

A fast multiscale Galerkin method for the first kind ill-posed integral equations via iterated regularization. - Suhua Yang; Xingjun Luo; Fanchun Li; Guangqing Long (Appl. Math. Comput., 2013)

Legendre multi-projection methods for solving eigenvalue problems for a compact integral operator. - Bijaya Laxmi Panigrahi; Guangqing Long; Gnaneshwar Nelakanti (J. Comput. Appl. Math., 2013)

Iterated Fast Collocation Methods for Integral Equations of the Second Kind. - Zhongying Chen; Guangqing Long; Gnaneshwar Nelakanti; Yongdong Zhang 002 (J. Sci. Comput., 2013)

A fast multiscale Kantorovich method for weakly singular integral equations. - Guangqing Long; Weifen Wu; Gnaneshwar Nelakanti (Numer. Algorithms, 2013)

Iterated fast multiscale Galerkin methods for eigen-problems of compact integral operators. - Guangqing Long; Weifen Wu; Gnaneshwar Nelakanti (Appl. Math. Comput., 2014)

Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations. - Payel Das; Gnaneshwar Nelakanti; Guangqing Long (J. Comput. Appl. Math., 2015)

Erratum to: Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations [J. Comput. Appl. Math 278 (2015) 293-305]. - Payel Das; Gnaneshwar Nelakanti; Guangqing Long (J. Comput. Appl. Math., 2016)

Legendre Spectral Projection Methods for Fredholm-Hammerstein Integral Equations. - Payel Das; Mitali Madhumita Sahani; Gnaneshwar Nelakanti; Guangqing Long (J. Sci. Comput., 2016)

Extrapolation of Discrete Multi-projection Methods for Fredholm Integral Equations of the Second Kind. - Guangqing Long; Lifeng Xuan; Jianjun Chen (CIS, 2017)

Numerical solution of a singularly perturbed problem with Robin boundary conditions using particle swarm optimization algorithm. - Li-Bin Liu; Guangqing Long; Aijia Ouyang; Zaitang Huang (J. Intell. Fuzzy Syst., 2017)

Numerical Solution of Singularly Perturbed Convection Delay Problems Using Self-adaptive Differential Evolution Algorithm. - Guangqing Long; Li-Bin Liu; Zaitang Huang (ICIC (3), 2018)

Discrete Legendre spectral Galerkin method for Urysohn integral equations. - Payel Das; Gnaneshwar Nelakanti; Guangqing Long (Int. J. Comput. Math., 2018)

Rational spectral collocation and differential evolution algorithms for singularly perturbed problems with an interior layer. - Li-Bin Liu; Guangqing Long; Zaitang Huang; Aijia Ouyang (J. Comput. Appl. Math., 2018)

B-spline collocation and self-adapting differential evolution (jDE) algorithm for a singularly perturbed convection-diffusion problem. - Xu-Qiong Luo; Li-Bin Liu; Aijia Ouyang; Guangqing Long (Soft Comput., 2018)

An augmented matched interface and boundary (MIB) method for solving elliptic interface problem. - Hongsong Feng; Guangqing Long; Shan Zhao 001 (J. Comput. Appl. Math., 2019)

Alternating direction ghost-fluid methods for solving the heat equation with interfaces. - Chuan Li; Zhihan Wei; Guangqing Long; Cameron Campbell; Stacy Ashlyn; Shan Zhao 001 (Comput. Math. Appl., 2020)

Convergence analysis of a finite difference scheme for a Riemann-Liouville fractional derivative two-point boundary value problem on an adaptive grid. - Li-Bin Liu; Zhifang Liang; Guangqing Long; Ying Liang (J. Comput. Appl. Math., 2020)

A robust adaptive grid method for a nonlinear singularly perturbed differential equation with integral boundary condition. - Li-Bin Liu; Guangqing Long; Zhongdi Cen (Numer. Algorithms, 2020)

Alternating Direction Implicit (ADI) Methods for Solving Two-Dimensional Parabolic Interface Problems with Variable Coefficients. - Chuan Li; Guangqing Long; Yiquan Li; Shan Zhao 001 (Comput., 2021)

FFT-Based High Order Central Difference Schemes for Poisson's Equation with Staggered Boundaries. - Hongsong Feng; Guangqing Long; Shan Zhao 001 (J. Sci. Comput., 2021)

Multilevel augmentation methods for eigen-problems of compact integral operators. - Guangqing Long; Rong Jie; Li-bin Liu (Numer. Algorithms, 2021)

Error estimate of BDF2 scheme on a Bakhvalov-type mesh for a singularly perturbed Volterra integro-differential equation. - Li-Bin Liu; Yige Liao; Guangqing Long (Networks Heterog. Media, 2023)

A novel parameter-uniform numerical method for a singularly perturbed Volterra integro-differential equation. - Li-Bin Liu; Yige Liao; Guangqing Long (Comput. Appl. Math., 2023)

Richardson extrapolation method for 2D-SPP on VB mesh singularly perturbed convection-diffusion problem on a Vulanović-Bakhvalov mesh. - Yige Liao; Li-Bin Liu; Lei Xu; Guangqing Long (Comput. Appl. Math., 2023)

A Fast Sine Transform Accelerated High-Order Finite Difference Method for Parabolic Problems over Irregular Domains. - Chuan Li; Yiming Ren; Guangqing Long; Eric Boerman; Shan Zhao 001 (J. Sci. Comput., 2023)

A MAC grid based FFT-AMIB solver for incompressible Stokes flows with interfaces and singular forces. - Huanfeng Yang; Shan Zhao; Guangqing Long (J. Comput. Appl. Math., 2024)

A fast wavelet collocation method with compression techniques for Steklov eigenvalue problems of Helmholtz equations. - Guangqing Long; Huanfeng Yang; Li-Bin Liu (Appl. Math. Lett., 2025)

High-order fractional central difference method for multi-dimensional integral fractional Laplacian and its applications. - Huanfeng Yang; Hongbin Chen 002; Xiaoqiang Yue; Guangqing Long (Commun. Nonlinear Sci. Numer. Simul., 2025)

An augmented fourth order domain-decomposed method with fast algebraic solvers for three-dimensional Helmholtz interface problems. - Huanfeng Yang; Guangqing Long; Yiming Ren; Shan Zhao 001 (J. Comput. Phys., 2025)